Question

Please help solve this question.

Answer 1

option A)

6

Explanation:

Given in the question the expression

3√20 / √5

(3 x √20) / √5

√20 can be separated as 5x4

(3 x√5x4) / √5

square root rule

(3 x √5√4) / √5

cancelling √5 from both sides

3 x √4

3 x 2

6 answer

So simplified form of 3√20/√5 is 6

Answer 2

Answer: OPTION A

Explanation:

Descompose the number 20 into its prime factors:

`20=2*2*5=2^2`

Because, by definition:

`\sqrt[n]{a^n}=a`

Then, you must rewrite 2²*5 inside of the square root, as following;

`(3√(2^2*5))/(√(5))`

Simplify as following:

Keeping on mind that
`\sqrt[n]{a^n}=a`, then:

`(3*2√(5))/(√(5))`

Note:

`(√(5))/(√(5))=1`

Then:

`(6√(5))/(√(5))=6(1)=6`

Therefore, as you can see the answer is the option A